2x-1/3=x+2/4-1 eching

$$\frac { 2 x - 1 } { 3 } = \frac { x + 2 } { 4 } - 1$$

x uchun yechish

$$x=-\frac{2}{5}=-0,4$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 3,4 ning eng kichik karralisiga ko‘paytiring.

$$4\left(2x-1\right)=3\left(x+2\right)-12$$

4 ga 2x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8x-4=3\left(x+2\right)-12$$

3 ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8x-4=3x+6-12$$

-6 olish uchun 6 dan 12 ni ayirish.

$$8x-4=3x-6$$

Ikkala tarafdan 3x ni ayirish.

$$8x-4-3x=-6$$

5x ni olish uchun 8x va -3x ni birlashtirish.

$$5x-4=-6$$

4 ni ikki tarafga qo’shing.

$$5x=-6+4$$

-2 olish uchun -6 va 4'ni qo'shing.

$$5x=-2$$

Ikki tarafini 5 ga bo‘ling.

$$x=\frac{-2}{5}$$

\frac{-2}{5} kasri manfiy belgini olib tashlash bilan -\frac{2}{5} sifatida qayta yozilishi mumkin.

$$x=-\frac{2}{5}$$